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A smooth sphere of radius R is made to translate in a straight line with a constant acceleration a.a particle is kept on top of a sphere and released from there at zero vel. with respect to the sphere.Find speed of particle with respect to the sphere as a function of angle theta as it slides?

A smooth sphere of radius R is made to translate in a straight line with a constant acceleration a.a particle is kept on top of a sphere and released from there at zero vel. with respect to the sphere.Find speed of particle with respect to the sphere as a function of angle theta as it slides?

Grade:

2 Answers

Aman Bansal
592 Points
10 years ago

Dear Swapan,

according to sphere's frame of reference

mg(sinØ+cosØ)= mv dv / r dØ

therefore

v=(2rg(cosØ - sinØ  - 1 ))1/2

Best Of luck

Plz Approve the answer...!!!!

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swapan jain
30 Points
10 years ago

Could you please elaborate and explain?

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